Sentence examples for operator boundary from inspiring English sources

In this work, we treat the well-posed and unique solvability of a non-homogeneous boundary value problem for a fourth order elliptic operator-differential equation with unbounded operator boundary conditions.

Note that the well-posed and unique solvability and Fredholmness of the boundary value problems for second and third order operator-differential equations with operator boundary conditions have been widely studied both on a finite interval and on the half-axis (see, e.g., [8 17] and the references therein, though far from being complete).

We have the non-positive Lyapunov operator and boundary condition to weaken the conditions of the previous theorems, but there is a small problem that the boundary condition of Theorem 3.2 is a stochastic domain.

At last, we study the existence and regularity of the following quasilinear differential operator with boundary conditions (1.3)–(1.3): (1.3).

In this paper, we study the solutions for nonlinear fractional differential equations with p-Laplacian operator nonlocal boundary value problem in a Banach space.

Since (D) is a nodal domain of an eigenfunction of the Laplace operator, the boundary (Gamma ) is a union of finitely many smooth arcs.

In [11], the authors constructed Green's function to the linear operator of boundary value EPCA and obtained some comparison results for the same differential equation.

However, even for the Schrödinger operator without boundary, the dynamic equations do not satisfy the Lipschitz condition and thus the flow could be multivalued.

The dot denotes differentiation with respect to time t; L 0, L 1 and L 2 are self-adjoint operators involving only the spatial variable x, B 1 and B 2 are linear operators of boundary conditions.

The economics of WECS principally depends on the operator-specific boundary conditions.

In fact, rather than create new patterns of interrelationship (e.g., between fish habitat advocates and pump station operators), the boundary object might further embed institutionalized routines.